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Finding the Third Proportional to 38.75 and 78.13

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Solution

The third proportional to 38.75 and 78.13 is: 157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.75 : 78.13 = 78.13 : x
  2. Step 2: Convert to fraction form
    38.75/78.13 = 78.13/x
  3. Step 3: Cross multiply
    38.75x = 78.13 × 78.13
  4. Step 4: Simplify right side
    38.75x = 6,103.52
  5. Step 5: Solve for x
    x = 6,103.52/38.75
  6. Step 6: Final answer
    x = 157.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.